gewogen

Gewogen is a Dutch adjective and past participle formed from the verb wegen, meaning to weigh. It denotes that an object has been weighed physically or that something has been given weight in a non-physical sense, such as significance or priority. In everyday language, gewogen describes measured mass, while metaphorical uses relate to importance assigned to factors.

In statistics and data analysis, gewogen is used in phrases like gewogen gemiddelde (weighted average) and gewogen som (weighted sum). The weighted average uses weights w_i to reflect the relative importance or frequency of each value x_i, calculated as sum(w_i * x_i) / sum(w_i). Weights are nonnegative and can derive from sample size, confidence, or expert judgment. Weighted approaches are common in aggregation, scoring models, and machine learning, where different features or observations contribute Unequally to a final result.

Etymology: gewogen derives from wegen, related to German gewogen and English weighed. In Dutch spelling, gewogen is used as the past participle and adjective, with the sense of applying weight either physically or conceptually. The term appears across disciplines that require differential weighting of components.